MIT Subject Listing & Schedule
Fall 2020 Search Results

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18.03 Differential Equations

(, )
Prereq: None. Coreq: Calculus II (GIR)
Units: 5-0-7
Credit cannot also be received for 18.032, CC.1803, ES.1803
http://math.mit.edu/classes/18.03
Lecture: MW1,F12 (VIRTUAL) Recitation: TR9 (VIRTUAL) or TR10 (VIRTUAL) or TR11 (VIRTUAL) or TR12 (VIRTUAL) or TR1 (VIRTUAL) or TR2 (VIRTUAL) or TR3 (VIRTUAL) or TR4 (VIRTUAL) or TR EVE (7 PM) (VIRTUAL)

Study of differential equations, including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series. Matrices, eigenvalues, eigenvectors, diagonalization. First order linear systems: normal modes, matrix exponentials, variation of parameters. Heat equation, wave equation. Nonlinear autonomous systems: critical point analysis, phase plane diagrams.
Fall: T. Collins
Spring: A. Lawrie
No required or recommended textbooks